Pith Number

pith:AEAXGESK

pith:2010:AEAXGESKV4JYGS5YUCG4OTCJIB

not attested not anchored not stored refs pending

Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichm\"uller flow

Artur Avila (IMJ), Sebastien Gouezel (IRMAR)

arxiv:1011.5472 v1 · 2010-11-24 · math.DS · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AEAXGESKV4JYGS5YUCG4OTCJIB}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:34:47.231157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

010173124aaf13834bb8a08dc74c49407c514526ccd09d765e1cb1c1ac21e29c

Aliases

arxiv: 1011.5472 · arxiv_version: 1011.5472v1 · doi: 10.48550/arxiv.1011.5472 · pith_short_12: AEAXGESKV4JY · pith_short_16: AEAXGESKV4JYGS5Y · pith_short_8: AEAXGESK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AEAXGESKV4JYGS5YUCG4OTCJIB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 010173124aaf13834bb8a08dc74c49407c514526ccd09d765e1cb1c1ac21e29c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "008a5fcc4c7537adb9968582559fc15d7931927e2281342b093116d6467a9b2c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-24T19:57:50Z",
    "title_canon_sha256": "2caf72c3da9c5a99640ed945eef5de940a32cd7d16f1e927607af3ff9091d941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5472",
    "kind": "arxiv",
    "version": 1
  }
}